Absolutely! Just demand this from recruiter and you will be set. If you are a strong enough negotiator, they will cover your car insurance and rent as well, just don't take no for an answer. Good luck!
As said above, they give you a company phone of your choice. They don't cover your personal phone plan or any family members.
You are free to ditch your personal phone and transfer your number to your work phone, as many people do in order to avoid carrying around 2 devices all the time. But as also said above, you are not guaranteed any privacy on your work phone as they can track everything you do on it (if anyone cared to).
For me, I keep work and personal phone separate. Personal phone is on family plan (which obviously fb doesn't pay for). Only use work phone when I have to, like for 2fac or using test users on mobile apps.